73=8(a+6)+3(8-3a)

Solution for 73=8(a+6)+3(8-3a) equation:

Simplifying
73 = 8(a + 6) + 3(8 + -3a)

Reorder the terms:
73 = 8(6 + a) + 3(8 + -3a)
73 = (6 * 8 + a * 8) + 3(8 + -3a)
73 = (48 + 8a) + 3(8 + -3a)
73 = 48 + 8a + (8 * 3 + -3a * 3)
73 = 48 + 8a + (24 + -9a)

Reorder the terms:
73 = 48 + 24 + 8a + -9a

Combine like terms: 48 + 24 = 72
73 = 72 + 8a + -9a

Combine like terms: 8a + -9a = -1a
73 = 72 + -1a

Solving
73 = 72 + -1a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'a' to each side of the equation.
73 + a = 72 + -1a + a

Combine like terms: -1a + a = 0
73 + a = 72 + 0
73 + a = 72

Add '-73' to each side of the equation.
73 + -73 + a = 72 + -73

Combine like terms: 73 + -73 = 0
0 + a = 72 + -73
a = 72 + -73

Combine like terms: 72 + -73 = -1
a = -1

Simplifying
a = -1